In What kind of edits contribute to the editor badges?, it's made clear that rollbacks do not count as edits; that is, they don't contribute toward the Editor -> Strunk & White -> Copy Editor badges.
What edits do not count towards the badges?
Actions taken on the post. Since you are not actually editing anything, actions such as closing, deleting, rollbacks, and converting to community wiki do not count.
Is this also the case for other Q&A-edit-related badges?
- Explainer -> Refiner -> Illuminator
- Excavator -> Archeologist